14,546 research outputs found
Enhanced Lasso Recovery on Graph
This work aims at recovering signals that are sparse on graphs. Compressed
sensing offers techniques for signal recovery from a few linear measurements
and graph Fourier analysis provides a signal representation on graph. In this
paper, we leverage these two frameworks to introduce a new Lasso recovery
algorithm on graphs. More precisely, we present a non-convex, non-smooth
algorithm that outperforms the standard convex Lasso technique. We carry out
numerical experiments on three benchmark graph datasets
ECONOMIC EFFECTS OF POSSIBLE EUROPEAN COMMUNITY MARKET INTERVENTION IN SOYBEANS AND THEIR PRODUCTS
Crop Production/Industries, International Relations/Trade,
Earth's Energy Imbalance and Implications
Improving observations of ocean heat content show that Earth is absorbing
more energy from the sun than it is radiating to space as heat, even during the
recent solar minimum. The inferred planetary energy imbalance, 0.59 \pm 0.15
W/m2 during the 6-year period 2005-2010, confirms the dominant role of the
human-made greenhouse effect in driving global climate change. Observed surface
temperature change and ocean heat gain together constrain the net climate
forcing and ocean mixing rates. We conclude that most climate models mix heat
too efficiently into the deep ocean and as a result underestimate the negative
forcing by human-made aerosols. Aerosol climate forcing today is inferred to be
1.6 \pm 0.3 W/m2, implying substantial aerosol indirect climate forcing via
cloud changes. Continued failure to quantify the specific origins of this large
forcing is untenable, as knowledge of changing aerosol effects is needed to
understand future climate change. We conclude that recent slowdown of ocean
heat uptake was caused by a delayed rebound effect from Mount Pinatubo aerosols
and a deep prolonged solar minimum. Observed sea level rise during the Argo
float era is readily accounted for by ice melt and ocean thermal expansion, but
the ascendency of ice melt leads us to anticipate acceleration of the rate of
sea level rise this decade.Comment: 39 pages, 18 figures; revised version submitted to Atmos. Chem. Phy
From top-hat masking to smooth transitions: P-filter and its application to polarized microwave sky maps
In CMB science, the simplest idea to remove a contaminated sky region is to
multiply the sky map with a mask that is 0 for the contaminated region and 1
elsewhere, which is also called a top-hat masking. Although it is easy to use,
such top-hat masking is known to suffer from various leakage problems.
Therefore, we want to extend the top-hat masking to a series of semi-analytic
functions called the P-filters. Most importantly, the P-filters can seamlessly
realize the core idea of masking in CMB science, and, meanwhile, guarantee
continuity up to the first derivative everywhere. The P-filters can
significantly reduce many leakage problems without additional cost, including
the leakages due to low-, high-, and band-pass filtering, and the E-to-E,
B-to-B, B-to-E, and E-to-B leakages. The workings of the P-filter are
illustrated by using the WMAP and Planck polarization sky maps. By comparison
to the corresponding WMAP/Planck masks, we show that the P-filter performs much
better than top-hat masking, and meanwhile, has the potential to supersede the
principal idea of masking in CMB science. Compared to mask apodization, the
P-filter is ``outward'', that tends to make proper use of the region that was
marked as 0; whereas apodization is ``inward'', that always kills more signal
in the region marked as 1.Comment: 19 pages and 11 figure
Visualizing Interstellar's Wormhole
Christopher Nolan's science fiction movie Interstellar offers a variety of
opportunities for students in elementary courses on general relativity theory.
This paper describes such opportunities, including: (i) At the motivational
level, the manner in which elementary relativity concepts underlie the wormhole
visualizations seen in the movie. (ii) At the briefest computational level,
instructive calculations with simple but intriguing wormhole metrics,
including, e.g., constructing embedding diagrams for the three-parameter
wormhole that was used by our visual effects team and Christopher Nolan in
scoping out possible wormhole geometries for the movie. (iii) Combining the
proper reference frame of a camera with solutions of the geodesic equation, to
construct a light-ray-tracing map backward in time from a camera's local sky to
a wormhole's two celestial spheres. (iv) Implementing this map, for example in
Mathematica, Maple or Matlab, and using that implementation to construct images
of what a camera sees when near or inside a wormhole. (v) With the student's
implementation, exploring how the wormhole's three parameters influence what
the camera sees---which is precisely how Christopher Nolan, using our
implementation, chose the parameters for \emph{Interstellar}'s wormhole. (vi)
Using the student's implementation, exploring the wormhole's Einstein ring, and
particularly the peculiar motions of star images near the ring; and exploring
what it looks like to travel through a wormhole.Comment: 14 pages and 13 figures. In press at American Journal of Physics.
Minor revisions; primarily insertion of a new, long reference 15 at the end
of Section II.
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